Math Problem Statement
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Find the function value for V(r) = (4/3)πr^3. Solve for (a) V(2), (b) V(√(3/2)), (c) V(3r).
Solution
Here are the results for the given function :
(a)
(b)
(c)
If you have any questions or need further details, feel free to ask!
Related Questions:
- How is the formula for the volume of a sphere derived?
- What happens to the volume when you triple the radius?
- How can you simplify the expression in general terms?
- What is the significance of in geometric problems like this?
- How can the volume formula be applied to real-world objects?
Tip: Always simplify expressions before substituting values to avoid errors in more complex calculations!
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Math Problem Analysis
Mathematical Concepts
Geometry
Algebra
Volume of a Sphere
Formulas
Volume of a sphere V(r) = (4/3)πr^3
Theorems
Formula for volume of a sphere
Suitable Grade Level
Grades 9-12